What is expand (xe^{1/x}-x)*(x*e^{1/x}+x) ?

The solution to expand (xe^{1/x}-x)*(x*e^{1/x}+x) is e^{2/x}x^2-x^2

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expand (xe^{1/x}-x)(xe^{1/x}+x)

expand

(x e^{\frac{1}{x}} - x) \cdot (x \cdot e^{\frac{1}{x}} + x)

e^{\frac{2}{x}} x^{2} - x^{2}

Solution steps

(x e^{\frac{1}{x}} - x) (x e^{\frac{1}{x}} + x)

= (e^{\frac{1}{x}} x - x) (e^{\frac{1}{x}} x + x)

Apply Difference of Two Squares Formula:

(a - b) (a + b) = a^{2} - b^{2}

a = x e^{\frac{1}{x}}, b = x

= (x e^{\frac{1}{x}})^{2} - x^{2}

(x e^{\frac{1}{x}})^{2} = e^{\frac{2}{x}} x^{2}

= e^{\frac{2}{x}} x^{2} - x^{2}

\frac{L ( 3 L + 3 uL ) ^{2}}{60}

x (cos (x) - sin (x))

(((3 x^{2} + 2 x + 1) \cdot cos (3 x))^{'})^{2021}

16

sin (x) \cdot (1 - sin (x))

What is expand (xe^{1/x}-x)*(x*e^{1/x}+x) ?
The solution to expand (xe^{1/x}-x)*(x*e^{1/x}+x) is e^{2/x}x^2-x^2